Robust H∞ state feedback control for linear systems with state delay and parameter uncertainty

  • Authors:

  • Jian-Hua Ge;P. M. Frank;Ching-Fang Lin

  • Affiliations:

  • American GNC Corporation, 9131 Mason Avenue, Chatsworth, CA 91311, U.S.A.;Department of Measurement and Control, University of Duisburg, Bismarckstrasse 81 BB, 47057 Duisburg, Germany;American GNC Corporation, 9131 Mason Avenue, Chatsworth, CA 91311, U.S.A.

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 1996

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Abstract

This paper addresses the problem of robust H"~ state feedback control design for linear systems with state delay and parameter uncertainty. Based on a positive-definite solution of a modified algebraic Riccati equation, the proposed robust H"~ static state feedback controller stabilizes uncertain time-delay systems independently of delays, and guarantees an H"~ norm bound constraint on disturbance attenuation for all admissible uncertainties. Furthermore, it is shown that no advantage can be obtained from the use of a proper linear dynamic state feedback compared with the use of static state feedback. Illustrative examples are given to demonstrate the applicability of the proposed approach.